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Finding the Third Proportional to 213,860 and 298,988

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Solution

The third proportional to 213,860 and 298,988 is: 418,001.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,860 : 298,988 = 298,988 : x
  2. Step 2: Convert to fraction form
    213,860/298,988 = 298,988/x
  3. Step 3: Cross multiply
    213,860x = 298,988 × 298,988
  4. Step 4: Simplify right side
    213,860x = 89,393,824,144
  5. Step 5: Solve for x
    x = 89,393,824,144/213,860
  6. Step 6: Final answer
    x = 418,001.61

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.